Answer:
See below
Step-by-step explanation:
Statements Reasons
----------------------------------------------------+----------------------------------------
1. Seg. BA is congr to seg. BC 1. Given
2. <A is congr to <BCA 2. Theorem: If 2 sides of triangle are
congr, then opp <s are congr
3. Seg. DC is congr to seg. DE 1. Given
4. <E is congr to <DCE 4. Theorem: If 2 sides of triangle are
congr, then opp <s are congr
5. <BCA is congr to <DCE 5. Vertical <s are congr.
6. <E is congr to <BCA 6. Theorem: Congr of <s is transitive
7. <E is congr to <A 7. Theorem: Congr of <s is transitive
8. AB||DE 8. If two lines are cut by a transversal
such that alt int <s are congr. then the
lines are parallel